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Finding the Fourth Proportional to 146,063.52, 218,924.55 and 129,456

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Solution

The fourth proportional to 146,063.52, 218,924.55 and 129,456 is: 194,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,063.52 : 218,924.55 = 129,456 : x
  2. Step 2: Convert to fraction form
    146,063.52/218,924.55 = 129,456/x
  3. Step 3: Cross multiply
    146,063.52x = 218,924.55 × 129,456
  4. Step 4: Simplify right side
    146,063.52x = 28,341,096,544.80
  5. Step 5: Solve for x
    x = 28,341,096,544.80/146,063.52
  6. Step 6: Final answer
    x = 194,032.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.